GT-seminarium: "Floer theory with generalized local systems"

Abstract: A path local system is a dg-functor from the path category of a topological space to the category of chain complexes. We will define Lagrangian intersection Floer theory with coefficients in path local systems, and use it to construct a functor between categories of path local systems defined on transversally intersecting Lagrangians. In the case when the ambient symplectic manifold is the cotangent bundle of a closed manifold and one Lagrangian is closed and exact and the other is the base, a local computation will show that the functor we defined is an equivalence.

This is a seminar in our Geometry and Topology seminar series.